GNSS卫星地影的一体化建模方法和星蚀参数计算

doi:10.11947/j.AGCS.2016.20160063

测绘学报 ›› 2016, Vol. 45 ›› Issue (11): 1270-1277.doi: 10.11947/j.AGCS.2016.20160063

GNSS卫星地影的一体化建模方法和星蚀参数计算

杜兰¹, 周佩元¹, 方善传¹, 刘泽军¹, 郭睿²

1. 信息工程大学导航与空天目标工程学院, 河南郑州 450001;
2. 北京环球信息应用开发中心, 北京 100094

收稿日期:2016-03-01 修回日期:2016-09-02 出版日期:2016-11-20 发布日期:2016-12-03
作者简介:杜兰(1970-),女,博士,教授,研究方向为轨道力学和卫星导航。E-mail:dulan2015@qq.com
基金资助:
国家自然科学基金（41174025；41174026；41204022；41374042）

Satellite Shadow Modeling and Algorithm of Satellite Shadow Parameters for GNSS

DU Lan¹, ZHOU Peiyuan¹, FANG Shanchuan¹, LIU Zejun¹, GUO Rui²

1. College of Navigation & Aerospace Engineering, Information Engineering University, Zhengzhou 450001, China;
2. Beijing Global Information Application and Development Center, Beijing 100094, China

Received:2016-03-01 Revised:2016-09-02 Online:2016-11-20 Published:2016-12-03
Supported by:
The National Natural Science Foundation of China (Nos. 41174025, 41174026, 41204022, 41374042)

摘要/Abstract

摘要： 基于日地关系建立地影模型，利用数值法可以高精度计算单个卫星的地影参数，但是难以快速而全面地分析某一类卫星的地影参数变化和分布规律。本文从日、地和卫星三者的几何关系出发，提出了一种基于空间视场的卫星地影直接建模方法。首先，分别利用轨道半长轴和太阳的周年视运动确定卫星地影的大小和位置变化；其次，基于球面几何分析法推导了卫星地影参数的计算公式以及扁率摄动等对长期预报的影响改正公式。对北斗混合星座中3类卫星的地影参数分析试验表明，卫星地影模型和地影参数解析法能够快速获得中高轨近圆轨道类型的星蚀规律信息。

关键词: 星蚀, 卫星地影模型, 星蚀参数, 摄动

Abstract: The satellite shadow parameters can be numerically calculated with high accuracy from the positions of the sun, the earth and the specific satellite. Unfortunately, it is difficult for the numerical calculation to give a general profile of the variations and distributions of these parameters for some certain types of orbital spacecraft. A satellite shadow model was presented based on the spatial view at the altitude of the satellite and the correlative geometry amongst the sun, the earth and the satellite. Firstly, the size and location of the satellite shadow were determined by the semi-major axis of the satellite orbit and the annual motion of the apparent sun, respectively. Secondly, the computing formulae of the satellite shadow parameters were derived, together with the correction formulae for the long-term prediction of the parameters due to oblateness perturbation, etc. Examinations on the three types of orbits for the BeiDou navigation constellation show that the proposed satellite shadow model and its shadow parameters computing formulae can provide a prompt profile of the eclipse parameters for the medium-high altitude circular orbit satellites.

Key words: satellite eclipse, satellite shadow model, satellite eclipse parameters, perturbation

中图分类号:

P228

杜兰, 周佩元, 方善传, 刘泽军, 郭睿. GNSS卫星地影的一体化建模方法和星蚀参数计算[J]. 测绘学报, 2016, 45(11): 1270-1277.

DU Lan, ZHOU Peiyuan, FANG Shanchuan, LIU Zejun, GUO Rui. Satellite Shadow Modeling and Algorithm of Satellite Shadow Parameters for GNSS[J]. Acta Geodaetica et Cartographica Sinica, 2016, 45(11): 1270-1277.

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GNSS卫星地影的一体化建模方法和星蚀参数计算

Satellite Shadow Modeling and Algorithm of Satellite Shadow Parameters for GNSS

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